is 2 933157 - 1
has 280909 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L52E71CE1058DD7__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26731.842470.1493%1000000300000000.09075.7411%31.933171.8630%1.7138%
PrimeNet2400.000050.0000%80003600000.001023.4057%0.001061.7028%11.7028%
GPU722440.000054.5455%150006000000.001618.0571%0.001762.7532%8.2078%
Difference+23+31.8424+15.6038%+985000+29400000+0.0891-12.3160%+31.9314+9.1098%+9.1098%

Known prime factors (1 factor, 67.7 bits, 0.00724996% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9331572321275948655156769912167.653124377567154035
3 × 5 × 13 × 23 × 27731899031
2007-09-10232773189903133.19453.12799.227

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.213%
2002-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.452%
2002-04-28T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.811%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.313%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.962%
2002-12-31T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.752%
2003-09-09T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.669%
2016-03-17T18:54:29alpertronManual testing20000050000006---0.016--3.280%
unknown100000030000000---0.091--5.741%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-28T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-06-29T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-12-07T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.021--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.041--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.131 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:14.131 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002817.926
25000025000000446.205


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-01T00:00:00ANONYMOUSv4_computers52E71CE1058DD7__0.023


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T10:24:33Oliver KruseGTX-3
232127594865515676991
D677B57DFC2886__no
2017-10-14T23:20:58Oliver KruseThreadripperD677B57DFC2886__no
2017-12-22T17:31:06ATHec2-1xf
232127594865515676991
D677B57DFC2886__no
2020-04-23T18:34:00Oliver KruseAddPrpType5
232127594865515676991
88A5FE634143D4__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
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1010
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TF factor-bounds graph:
267
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257
256
255
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2100
Last modified: 2020-04-23T18:34:00+00:00